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Finding the Third Proportional to 697,705.88 and 1,050,642.56

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Solution

The third proportional to 697,705.88 and 1,050,642.56 is: 1,582,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,705.88 : 1,050,642.56 = 1,050,642.56 : x
  2. Step 2: Convert to fraction form
    697,705.88/1,050,642.56 = 1,050,642.56/x
  3. Step 3: Cross multiply
    697,705.88x = 1,050,642.56 × 1,050,642.56
  4. Step 4: Simplify right side
    697,705.88x = 1,103,849,794,136.57
  5. Step 5: Solve for x
    x = 1,103,849,794,136.57/697,705.88
  6. Step 6: Final answer
    x = 1,582,113.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.